Question

# In the adjoining figure, D is the midpoint of side BC of ΔABC and E is the mid-point of BD. If O is the mid-Point of AE, then find whether the area of ΔOBE=18 area of ΔABC is true/false.

A
True
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B
False
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Solution

## The correct option is A True InΔABC,D is the mid point of BC, E is the mid point of BD and O is the midpoint of AE ThenBE=14BCorOE=12AE Weknowareaoftriangle=12hb AreaofΔABC=12(BC)(AE) AreaofΔBOE=12(BE)(OE) ThenareaofΔBOE=18areaofΔABC Hence the given statement is true.

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